Applications of Nijenhuis geometry. IV: Multicomponent KdV and Camassa-Holm equations

DOI10.4310/DPDE.2023.v20.n1.a4MaRDI QIDQ2680459

Andrey Yu. Konyaev, Alexei V. Bolsinov, Vladimir S. Matveev

Publication date: 2 January 2023

Published in: Dynamics of Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2206.12942

zbMATH Keywords

Korteweg-de Vries equationCamassa-Holm equationHarry Dym equationNijenhuis operatorconservation laws and symmetriesevolutionary flowmulticomponent integrable PDE systems

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Applications of differential geometry to physics (53Z05) Soliton equations (35Q51) Poisson manifolds; Poisson groupoids and algebroids (53D17) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with topology, geometry and differential geometry (37K25) Local Riemannian geometry (53B20) Differential invariants (local theory), geometric objects (53A55)

Related Items (4)

Nijenhuis geometry. III: \(\mathrm{gl}\)-regular Nijenhuis operators ⋮ Applications of Nijenhuis geometry. V: Geodesic equivalence and finite-dimensional reductions of integrable quasilinear systems ⋮ Elementary differential singularities of three-dimensional Nijenhuis operators ⋮ Applications of Nijenhuis geometry. III: Frobenius pencils and compatible non-homogeneous Poisson structures

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